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The first five International Congresses of Mathematicians were held in the following cities:

\begin{quote}
  \begin{tabular}{lll}
    Chicago&U.S.A.&1893\\
    Z\"{u}rich&Switzerland&1897\\
    Paris&France&1900\\
    Heidelberg&Germany&1904\\
    Rome&Italy&1908
  \end{tabular}
\end{quote}

The group of permutations of a set of $n$~elements has order $n!$, where $n!$, the factorial of $n$, is the product of all integers between $1$ and $n$. The following table lists the values of the factorial of each integer~$n$ between 1 and 10:

\begin{quote}
  \begin{tabular}{|r|r|}
    \hline
      $n$&$n!$\\
    \hline
      1&1\\
      2&2\\
      3&6\\
      4&24\\
      5&120\\
      6&720\\
      7&5040\\
      8&40320\\
      9&362880\\
      10&3628800\\
    \hline
  \end{tabular}
\end{quote}

Note how rapidly the value of $n!$ increases with $n$.

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